Advertisement

International Journal of Theoretical Physics

, Volume 43, Issue 12, pp 2395–2403 | Cite as

Yangian Realization for Dirac Oscillator

  • Chunfeng Wu
  • Kang Xue
Article

Abstract

We investigate the realizations of Yangian algebra for a Dirac oscillator. Applying the representation theory of Y(sl(2)) to Dirac oscillator, shift operaors for different energy levelsfor this system are obtained.

Yangian dirac oscillator shift operator 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ba, C. M., Ge, M. L., and Xue, K. (2001). Journal of Statistical Physics 102, 545.MathSciNetGoogle Scholar
  2. Baxter, R. J. (1982). Exactly Solved Models in Statistical Mechanics, Academic Press, London.MATHGoogle Scholar
  3. Cook, P. A. (1971). Lett. Nuovo Cimento 1, 419.CrossRefGoogle Scholar
  4. Delange, O. L. (1991). Journal of Mathematical Physics 32(5), 1296.ADSMathSciNetGoogle Scholar
  5. Drinfeld, V. G. (1985). Soviet Mathematics Dokl. 32, 254.Google Scholar
  6. Drinfeld, V. G. (1986). Quantum Group In: Proceeding of ICM, Academic Press, Berkeley, (CA), 269.Google Scholar
  7. Drinfeld, V. G. (1988). Soviet Mathematics Dokl. 36, 212.MathSciNetGoogle Scholar
  8. Ge, M. L., Kwek, L. C., Liu, Y., Oh, C. H., and Wang, X. B. (2000). Physics Letters A, 62, 052110.Google Scholar
  9. Ge, M. L. and Xue, K. (1999). Yang-Baxter Equation, Technical Education Press, Shanghai, P. R. China.Google Scholar
  10. Ge, M. L., Xue, K., and Cho, Y. M. (1999). Physics Letters A 260, 484.MATHADSMathSciNetGoogle Scholar
  11. Itô, D., Mori, K., and Cariere, E. (1967). Nuovo Cimento 51A, 1119.ADSGoogle Scholar
  12. Moshinsky, M. and Szczepaniak, A. (1989). Journal of Physics A: Mathematical and General 22, L817.ADSMathSciNetGoogle Scholar
  13. Quesne, C. and Moshinsky, M. (1990). Journal of Physics A: Mathematical and General 23, 2263.MATHADSMathSciNetGoogle Scholar
  14. Yang, C. N. (1967). Physical Review Letters 19, 1312.MATHADSMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2004

Authors and Affiliations

  1. 1.Department of PhysicsNational University of SingaporeSingapore
  2. 2.Department of PhysicsNortheast Normal UniversityChangchunP. R. China

Personalised recommendations